A general model for linearly polarized optical vector beams
Year: 2025
Type: article
Abstract: We propose an approach for deriving a broad class of propagation models for inhomogeneously, linearly polarized ‘vector’ beams. Our formulation leverages a complex scalar potential along with an appropriately constructed Lagrangian energy density. Importantly, we show that polarization inhomogeneities can be included by simple addition of a spatially dependent polarization angle to the complex potential phase. Thus, phase and polarization are seen to be equivalent from an energy perspective. As part of our development, we also show how the complex scalar potential arises naturally when considering polarization angle as a field symmetry during construction of the Lagrangian. We further show that the definition of linear momentum density in terms of the complex potential holds a distinct advantage over the conventional definition for inhomo-geneously polarized beams.
Source: New Journal of Physics
Authors: J M Nichols, F Bucholtz
Institution: United States Naval Research Laboratory
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,610
Funder: Office of Naval Research
Award: G4204309026
OpenAlex ID: W4414537467